The　nonlinear　static　behavior　of　hygrothermal　magnetoelectroelastic(MEE)　nanoplates　considering　the　flexomagnetoelectric　(FME)　effect　is　researched　by　engaging　the　first-order　shear　deformation　theory　(FSDT).　The　constitutive　equations　of　MEE　nanoplates　take　into　account　the　FME　effect　and　hygrothermal　effect.　Leveraging　the　FSDT,　von　Karman＇s　nonlinear　equation　and　Hamilton＇s　principle,　the　nonlinear　control　equation　for　hygrothermal　MEE　nanoplates　can　be　derived　by　using　the　variational　approach.　The　nonlocal　strain　gradient　theory　(NSGT)　has　application　in　the　size　effect　of　MEE　nanoplates.　The　nonlocal　nonlinear　term　in　the　control　equation　is　handled　by　employing　the　Airy　stress　function,　and　then　the　non-linear　mechanical　model　is　solved　by　the　Galerkin　method.　Thus,　the　nonlinear　load-deflection　curves　(NLDC)　of　the　MEE　nanoplate　are　obtained　via　the　introduction　of　material　parameters,　enabling　an　examination　of　the　impact　of　various　factors　such　as　the　FME　effect,　two　small　size　parameters　of　NSGT　and　other　parameters　on　the　nonlinear　bending　behavior　of　MEE　nanoplates.　In　conclusion,　this　study　offers　a　theoretical　foundation　for　taking　into　account　the　FME　effect　in　the　development　of　nanodevices,　thereby　contributing　to　advancements　in　this　field.　©　2024　Elsevier　Ltd